|
This article is cited in 38 scientific papers (total in 38 papers)
Quantum Non-Markovian Stochastic Equations
G. G. Adamianab, N. V. Antonenkoa, Z. Kanokovac, V. V. Sargsyana a Joint Institute for Nuclear Research
b G I. Budker Institute of Nuclear Physics, Siberian Branch of Russian Academy of Sciences
c National University of Uzbekistan named after M. Ulugbek
Abstract:
We derive quantum diffusion equations with transport coefficients explicitly depending on time from generalized non-Markovian Langevin equations and obtain generalized fluctuation-dissipation relations. We substantiate the axiomatic Lindblad approach in the microscopic model. For non-Markovian dynamics, we find sets of diffusion coefficients that ensure the purity of states at any instant.
Keywords:
open quantum systems, friction and diffusion coefficients, non-Markovian dynamics.
Received: 02.11.2004 Revised: 10.02.2005
Citation:
G. G. Adamian, N. V. Antonenko, Z. Kanokov, V. V. Sargsyan, “Quantum Non-Markovian Stochastic Equations”, TMF, 145:1 (2005), 87–101; Theoret. and Math. Phys., 145:1 (2005), 1443–1456
Linking options:
https://www.mathnet.ru/eng/tmf1882https://doi.org/10.4213/tmf1882 https://www.mathnet.ru/eng/tmf/v145/i1/p87
|
|